List questions from borel-measures

Published on 22 Mar 2026 - 16:36

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How to define the Lebesgue measure on the real line

Published on 24 Nov 2018 - 14:19

191

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Lusin's theorem on arbitrary measure space

Published on 25 Nov 2018 - 5:27

174

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$f, 1/f$ integrable implies that $f^2$, $1/f^2$ integrable?

Published on 27 Nov 2018 - 14:49

645

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A counterexample to the epsilon-delta criterion for Absolute Continuity of Measures

Published on 23 Feb 2026 - 1:07

45

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A double integral being finite implies the corresponding Borel-measure is $= 0$ on singletons

Published on 05 Dec 2018 - 22:51

46

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Outer approximation of Borel sets by disjoint union of sets of the form $(\frac{k}{n}, \frac{k+1}{n} ]$

Published on 12 Dec 2018 - 16:02

302

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Borel Measurable Set Related to Sections

Published on 15 Dec 2018 - 0:46

546

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Definition of weak solution of a PDE that is given in the nondivergent form

Published on 16 Dec 2018 - 16:21

88

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Showing equivalence in a complex measure space

Published on 20 Dec 2018 - 14:53

248

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Finite-valued condition of measurable functions

Published on 26 Dec 2018 - 22:50

614

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function continuous ae but not borel measurable

Published on 03 Jan 2019 - 15:17

140

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Regularity of measure in Lemma 7.2.6 of Bogachev

Published on 03 Jan 2019 - 15:48

710

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$f$ measurable iff $f^2$ measurable and $\{f > 0\}$ measurable

Published on 04 Jan 2019 - 19:09

675

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Lebesgue-measurable almost everywhere equals Borel measurable function

Published on 07 Jan 2019 - 12:05

List Question

Regular Measures

How to define the Lebesgue measure on the real line

Lusin's theorem on arbitrary measure space

$f, 1/f$ integrable implies that $f^2$, $1/f^2$ integrable?

A counterexample to the epsilon-delta criterion for Absolute Continuity of Measures

A double integral being finite implies the corresponding Borel-measure is $= 0$ on singletons

Outer approximation of Borel sets by disjoint union of sets of the form $(\frac{k}{n}, \frac{k+1}{n} ]$

Borel Measurable Set Related to Sections

Definition of weak solution of a PDE that is given in the nondivergent form

Showing equivalence in a complex measure space

Finite-valued condition of measurable functions

function continuous ae but not borel measurable

Regularity of measure in Lemma 7.2.6 of Bogachev

$f$ measurable iff $f^2$ measurable and $\{f > 0\}$ measurable

Lebesgue-measurable almost everywhere equals Borel measurable function

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